Volume no :5, Issue no: 1, May 2010

Journal of Mathematical Sciences: Advances and Applications

LOWER AND UPPER BOUNDS FOR BLOW-UP TIME IN A DEGENERATE SEMILINEAR PARABOLIC PROBLEM

Author's: W. Jumpen and P. Sawangtong
Pages: [209] - [219]
Received Date: May 18, 2010
Submitted by:

Abstract

A degenerate semilinear parabolic initial-boundary value problem in [2] has a solution, which blows up in finite time. In this paper, we use a differential inequality technique and eigenfunction method to determine lower and upper bounds for blow-up time of a solution for the problem, respectively.

Keywords

blow-up time, degenerate semilinear parabolic problems, lower and upper bounds, inequality technique.